Assignments for Class 9 Mathematics Surface areas and Volumes have been developed for Standard 9 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 9 Mathematics Surface areas and Volumes from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 9 Mathematics Surface areas and Volumes. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Mathematics Surface areas and Volumes book and get good marks in class 9 exams.

**Key Concepts** for Class 9 Mathematics Surface areas and Volumes

**Key Concepts**for Class 9 Mathematics Surface areas and Volumes

**Class 9 Mathematics Surface areas and Volumes** Assignments

**Class 9 Mathematics Surface areas and Volumes Important Questions and Answers**

**Question. The surface area of a cube whose edge is 11cm is**

(a) 725cm^{2}

(b) 726cm^{2}

(c) 727cm^{2}

(d) 728cm^{2}

**Ans.**

B

**Question.** A match box measures 4cm X 2.5cm X 1.5cm. What will be the volume of a packet containing 12 such boxes?

(a) 15cm^{3}

(b) 180cm^{3}

(c) 90cm^{3}

(d) 175cm^{3}

**Ans.**

B

**Question.** The total surface area of a cone of radius r/2 and length 2 ∫ is

**Ans.**

C

**Question.** The surface area of sphere of radius 10.5cm is

(a) 1386cm^{2}

(b) 616cm^{2}

(c) 1390cm^{2 }

(d) 10cm^{2}

**Ans.**

A

**Question.** The diameter of a garden roller is 1.4m and it is 2m long. How much area will it cover in 5 revolutions? (π = 22/7)

**Ans.**

44m^{2}

**Question.** If surface areas of two spheres are in the ratio of 4: 9 then the ratio of their volumes is

(a) 16/27

(b) 4/27

(c) 8/27

(d) 9/27

**Ans.**

A

**Question.** A solid cylinder has a total surface area of 231cm^{2}. Its curved surface area is 2/3 of the total surface area. Find the volume of the cylinder.

**Ans.**

269.5cm^{2}

**Question.** A well with 10m inside diameter is dug 14m deep. Earth taken out of it is spread all around to a width of 5m to form an embankment. Find the height of embankment.

**Ans.**

4.66m

**Question.** The dimensions of a cubiod are in the ratio of 1 : 2 : 3 and its total surface area is 88m^{2}. Find the dimensions.

**Ans.**

2, 4, 6 cm

**Question.** Find the volume of a sphere whose surface area is 154cm^{2}.

**Ans.**

179.66cm^{2}

**Question.** A cuboidal oil tin is 30cm X 40cm X 50cm. Find the cost of the tin required for making 20 such tins if the cost of tin sheet is Rs. 20/m^{2}.

**Ans.**

Rs. 376

**Question.** The radius and height of a cone are in the ratio 4 : 3. The area of the base is 154cm^{2}. Find the area of the curved surface.

**Ans.**

192.5cm^{2}

**Question.** A hollow cylindrical pipe is 210cm long. Its outer and inner diameters are 10cm and 6cm respectively. Find the volume of the copper used in making the pipe.

**Ans.**

10560cm^{3}

**Question.** A hemisphere of lead of radius 8cm is cast into a right circular cone of base radius 6cm. Determine the height of the cone.

**Ans.**

28.44

**Question.** A sphere, cylinder and cone are of the same radius and same height. Find the ratio of their curved surfaces.

**Ans.**

4 : 4 : √5

**Question.** A semi circular sheet of metal of diameter 28cm is bent into an open conical cup. Find the depth and capacity of cup.

**Ans.**

12.12cm, 622.26cm^{3}

**Question.** A hemispherical bowl of internal diameter 36cm contains a liquid. This liquid is to be filled in cylindrical bottles of radius 3cm and height 6cm. How many bottles are required to empty the bowl?

**Ans.**

72

**Question.** Find the lateral curved surface area of a cylindrical petrol storage tank that is 4.2m in diameter and 4.5m high. How much steel was actually used, 1/12 if of steel actually used was wasted in making the closed tank.

**Ans.**

59.4m^{2}, 95.04m^{2}

**Question.** Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14cm.

**Ans.**

718.66cm^{3}

**Question.** The curved surface area of a right circular cylinder of height 14cm is 88cm^{2}. Find the diameter of the base of the cylinder.

(a) 1cm

(b) 2cm

(c) 3cm

(d) 4cm

**Ans.**

B

**Question.** A cone of height 24cm and slant height 25cm has a curved surface area 550cm^{2}. Find its volume use**π = 22/7**

**Ans.**

1232 cm^{2}

**Question.** Three cubes of each side 4cm are joining end to end. Find the surface area of resulting cuboid.

**Ans.**

224 cm^{2}

**Question.****The radius and height of a cone are 6cm and 8cm respectively. Find the curved surface area of the cone.**

**Ans.**

60πcm^{2}

**Question.** A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base of the cone is 6cm and its height is 4cm. Find the cost of painting the toy at the rate of Rs. 5 per 1000cm^{2}.

**Ans.**

Rs. 0.51

**Question.** A metallic sheet is of the rectangular shape with dimensions 48cm X 36cm. From each one of its corners, a square of 8cm is cutoff. An open box is made of the remaining sheet. Find the volume of the box.

**Ans.**

5120cm^{3}

**Question.** Three metal cubes whose edge measure 3cm, 4cm and 5cm respectively are melted to form a single cube, find its edge.

**Ans.**

6cm

**Question.** If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of second sphere?

**Ans.**

1:8

## Assignments for Class 9 Mathematics Surface areas and Volumes as per CBSE NCERT pattern

All students studying in Grade 9 Mathematics Surface areas and Volumes should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Mathematics Surface areas and Volumes exam for standard 9. We have made sure that all topics given in your textbook for Mathematics Surface areas and Volumes which is suggested in Class 9 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.

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